Exponential ratio and product type estimators of the mean in stratified two-phase sampling

被引：21
|
作者：
Zaman, Tolga [1 ]
Kadilar, Cem [2 ]
机构：
[1] Cankiri Karatekin Univ, Dept Stat, Cankiri, Turkey
[2] Hacettepe Univ, Dept Stat, Ankara, Turkey
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 05期
关键词：
stratified two-phase sampling; exponential ratio-product estimators; mean square error; efficiency;
D O I：
10.3934/math.2021252
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we propose exponential ratio estimators in the stratified two-phase sampling utilizing an auxiliary attribute. The expressions for the mean squared error of these exponential-type estimators under two different cases are derived and theoretical comparisons are made with competing estimators. We show that the proposed estimators have a lower mean square error than the simple mean estimator, usual stratified two-phase sampling ratio, and product estimators, usual exponential ratio and product estimators for the stratified two-phase sampling under the obtained conditions in theory. In addition, these theoretical results are supported with the aid of a numerical example.
引用
收藏
页码：4265 / 4279
页数：15
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